Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770co |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1510080 |
Modular degree for the optimal curve |
Δ |
-3.417465618252E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1127656,-540041230] |
[a1,a2,a3,a4,a6] |
j |
-14954209842853/3222656250 |
j-invariant |
L |
3.6209215126092 |
L(r)(E,1)/r! |
Ω |
0.072418430249932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55770bn1 |
Quadratic twists by: 13 |